GCD of 712, 474, 322, 920 Calculator

Given Input numbers are 712, 474, 322, 920

In the factoring method, we have to find the divisors of all numbers

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (712, 474, 322, 920) = 2.

Given numbers are 712, 474, 322, 920

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 474 are 2 x 3 x 79

Prime factors of 322 are 2 x 7 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 712, 474, 322, 920 is 2.

Given numbers are 712, 474, 322, 920

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(712, 474) = 168744

GCD(712, 474) = ( 712 x 474 ) / 168744

= 712 / 474

= 712

Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 712, 474, 322, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 744, 638, 209
• GCD of 680, 495, 850, 593
• GCD of 342, 692, 812, 460
• GCD of 316, 564, 220, 679
• GCD of 598, 431, 139, 925

Given numbers are 712, 474, 322, 920
The greatest common divisor of numbers 712, 474, 322, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 474, 322, 920 is 2.

1. What is the GCD of 712, 474, 322, 920?

GCD of given numbers 712, 474, 322, 920 is 2

2. How to calculate the greatest common divisor of 712, 474, 322, 920?

We can find the highest common divisor of 712, 474, 322, 920 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 712, 474, 322, 920 i.e 2.

3. How can I use the GCD of 712, 474, 322, 920Calculator?

Out the numbers 712, 474, 322, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.